We have learned the following about expected value and variance: E(x + y) = E(x) + E(y) E(x - y) = E(x) - E(y) E(k . x) = k . E(x) Var(k . x) = k . Var(x). Also, when x and y are independent variables, Var(x + y) = Var(x) + Var(y) Var(x - y) = Var(x) + Var(y) Suppose that x is a random variable with mean Ux = E(x) = 16.9 and variance Var(x) = 07 6.1 . Suppose also that y is a random variable with mean My = E(y) = 1.1 and variance Var(y) = oy 6 . Use the properties above to answer the following questions. Round to two places after the decimal (most relevant on the standard deviations). Give the mean of x + y : Give the variance of a + y : Give the standard deviation of x + y : Give the mean of x - y : Give the variance of x - y : Give the standard deviation of x - y : Give the mean of 2y : Give the variance of 2y : Give the standard deviation of 2y :We have learned the following about expected value and variance: E(x + y) = E(x) + E(y) E(x - y) = E(x) - E(y) E( k . x) = k . E(x) Var(k . x) = k2 . Var(a). Also, when x and y are independent variables, Var(x + y) = Var(x) + Var(y) Var(x - y) = Var(x) + Var(y) Suppose that x is a random variable with mean Ux = E(x) = 9.3 and variance Var(x) = 07 = 2 . Suppose also that y is a random variable with mean My = E(y) = 2.8 and variance Var(y) = oy = 2 . Use the properties above to answer the following questions. Round to two places after the decimal (most relevant on the standard deviations). Give the mean of x + y : Give the variance of a + y : Give the standard deviation of x + y : Give the mean of x - y : Give the variance of x - y : Give the standard deviation of x - y : Give the mean of 3x : Give the variance of 3x : Give the standard deviation of 3x